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Finding the Third Proportional to 6,091 and 8,098

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Solution

The third proportional to 6,091 and 8,098 is: 10,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091 : 8,098 = 8,098 : x
  2. Step 2: Convert to fraction form
    6,091/8,098 = 8,098/x
  3. Step 3: Cross multiply
    6,091x = 8,098 × 8,098
  4. Step 4: Simplify right side
    6,091x = 65,577,604
  5. Step 5: Solve for x
    x = 65,577,604/6,091
  6. Step 6: Final answer
    x = 10,766.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.